McGill.CA / Department of Physiology / Undergraduate Studies / BSc Programs

Physiology & Math Course Listing

REQUIED COURSES

Physiology and Mathematics Major (B.Sc.) (79 credits)

Offered by: Physiology (Faculty of Science)
Degree: Bachelor of Science
Program credit weight: 79

Program Description

The physiology and mathematics major program is an interdisciplinary program that integrates the world of physiology with mathematics. It explores the relationship between Physiological systems and the quantitative principles underpinning them. Physiology covers topics from cellular function to organ systems and behaviour. Mathematics delves into the basis of pure and applied mathematics with a focus on developing analytical, computational and problem-solving skills with an emphasis on nonlinear dynamics. 

Degree Requirements — B.Sc.

This program is offered as part of a Bachelor of Science (B.Sc.) degree.

To graduate, students must satisfy both their program requirements and their degree requirements.

  • The program requirements (i.e., the specific courses that make up this program) are listed under the Course Tab (above).
  • The degree requirements—including the mandatory Foundation program, appropriate degree structure, and any additional components—are outlined on the Degree Requirements page.

Students are responsible for ensuring that this program fits within the overall structure of their degree and that all degree requirements are met. Consult the Degree Planning Guide on the SOUSA website for additional guidance.

Note: For information about Fall 2025 and Winter 2026 course offerings, please check back on May 8, 2025. Until then, the "Terms offered" field will appear blank for most courses while the class schedule is being finalized.

Required Courses (70 credits)

Bio-Physical Sciences Core

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Course Title Credits
BIOL 219Introduction to Physical Molecular and Cell Biology.4

Introduction to Physical Molecular and Cell Biology.

Terms offered: this course is not currently offered.

An introduction to molecular and cell biology from a physical perspective. Techniques and methodologies, both experimental and computational, are included in the presentation of each thematic module.

See course page for more information

BIOL 395Quantitative Biology Seminar.1

Quantitative Biology Seminar.

Terms offered: this course is not currently offered.

Overview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology.

See course page for more information

MATH 222Calculus 3.3

Calculus 3.

Terms offered: Summer 2025

Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.

See course page for more information

MATH 223Linear Algebra. 13

Linear Algebra.

Terms offered: this course is not currently offered.

Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.

See course page for more information

MATH 247Honours Applied Linear Algebra. 13

Honours Applied Linear Algebra.

Terms offered: this course is not currently offered.

Matrix algebra, determinants, systems of linear equations. Abstract vector spaces, inner product spaces, Fourier series. Linear transformations and their matrix representations. Eigenvalues and eigenvectors, diagonalizable and defective matrices, positive definite and semidefinite matrices. Quadratic and Hermitian forms, generalized eigenvalue problems, simultaneous reduction of quadratic forms. Applications.

See course page for more information

MATH 315Ordinary Differential Equations. 23

Ordinary Differential Equations.

Terms offered: this course is not currently offered.

First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.

See course page for more information

MATH 323Probability.3

Probability.

Terms offered: Summer 2025

Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.

See course page for more information

MATH 325Honours Ordinary Differential Equations. 23

Honours Ordinary Differential Equations.

Terms offered: this course is not currently offered.

First and second order equations, linear equations, series solutions, Frobenius method, introduction to numerical methods and to linear systems, Laplace transforms, applications.

See course page for more information

1

Students may take either MATH 223 Linear Algebra. or MATH 247 Honours Applied Linear Algebra..

2

Students may take either MATH 315 Ordinary Differential Equations. or MATH 325 Honours Ordinary Differential Equations..

Physiology and Mathematics Core

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Course Title Credits
BIOL 309Mathematical Models in Biology.3

Mathematical Models in Biology.

Terms offered: this course is not currently offered.

Application of finite difference and differential equations to problems in cell and developmental biology, ecology and physiology. Qualitative, quantitative and graphical techniques are used to analyze mathematical models and to compare theoretical predictions with experimental data.

See course page for more information

BMDE 519Biomedical Signals and Systems.3

Biomedical Signals and Systems.

Terms offered: this course is not currently offered.

An introduction to the theoretical framework, experimental techniques and analysis procedures available for the quantitative analysis of physiological systems and signals. Lectures plus laboratory work using the Biomedical Engineering computer system. Topics include: amplitude and frequency structure of signals, filtering, sampling, correlation functions, time and frequency-domain descriptions of systems.

See course page for more information

MATH 242Analysis 1.3

Analysis 1.

Terms offered: this course is not currently offered.

A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.

See course page for more information

MATH 243Analysis 2.3

Analysis 2.

Terms offered: this course is not currently offered.

Definition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces.

See course page for more information

MATH 248Honours Vector Calculus. 13

Honours Vector Calculus.

Terms offered: this course is not currently offered.

Partial derivatives and differentiation of functions in several variables; Jacobians; maxima and minima; implicit functions. Scalar and vector fields; orthogonal curvilinear coordinates. Multiple integrals; arc length, volume and surface area. Line and surface integrals; irrotational and solenoidal fields; Green's theorem; the divergence theorem. Stokes' theorem; and applications.

See course page for more information

MATH 314Advanced Calculus. 13

Advanced Calculus.

Terms offered: this course is not currently offered.

Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.

See course page for more information

MATH 317Numerical Analysis.3

Numerical Analysis.

Terms offered: this course is not currently offered.

Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.

See course page for more information

MATH 319Partial Differential Equations .3

Partial Differential Equations .

Terms offered: this course is not currently offered.

First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series, boundary and initial value problems.

See course page for more information

MATH 324Statistics.3

Statistics.

Terms offered: this course is not currently offered.

Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.

See course page for more information

MATH 326Nonlinear Dynamics and Chaos.3

Nonlinear Dynamics and Chaos.

Terms offered: this course is not currently offered.

Linear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.

See course page for more information

MATH 437Mathematical Methods in Biology.3

Mathematical Methods in Biology.

Terms offered: this course is not currently offered.

The formulation and treatment of realistic mathematical models describing biological phenomena through qualitative and quantitative mathematical techniques (e.g. local and global stability theory, bifurcation analysis and phase plane analysis) and numerical simulation. Concrete and detailed examples will be drawn from molecular and cellular biology and mammalian physiology.

See course page for more information

PHGY 209Mammalian Physiology 1.3

Mammalian Physiology 1.

Terms offered: this course is not currently offered.

Physiology of body fluids, blood, body defense mechanisms, muscle, peripheral, central, and autonomic nervous systems.

See course page for more information

PHGY 210Mammalian Physiology 2.3

Mammalian Physiology 2.

Terms offered: this course is not currently offered.

Physiology of cardiovascular, respiratory, digestive, endocrine and renal systems.

See course page for more information

PHGY 212Introductory Physiology Laboratory 1.1

Introductory Physiology Laboratory 1.

Terms offered: this course is not currently offered.

Exercises illustrating fundamental principles in physiology: Biological Signals Acquisitions, Blood, Immunology, Neurophysiology, Neuromuscular Physiology.

See course page for more information

PHGY 213Introductory Physiology Laboratory 2.1

Introductory Physiology Laboratory 2.

Terms offered: this course is not currently offered.

Exercises illustrating fundamental principles in physiology: Central Nervous System, Cardiovascular, Respiration, Exercise Physiology, Molecular Endocrinology.

See course page for more information

PHGY 312Respiratory, Renal, and Cardiovascular Physiology.3

Respiratory, Renal, and Cardiovascular Physiology.

Terms offered: this course is not currently offered.

In-depth presentation of experimental results and hypotheses underlying our current understanding of topics in renal, respiratory and cardiovascular functions explored beyond the introductory level.

See course page for more information

PHGY 313Blood, Gastrointestinal, and Immune Systems Physiology.3

Blood, Gastrointestinal, and Immune Systems Physiology.

Terms offered: this course is not currently offered.

In-depth presentation of experimental results and hypotheses underlying our current understanding of topics in immunology, blood and fluids, and gastrointestinal physiology.

See course page for more information

PHGY 461D1Experimental Physiology.4.5

Experimental Physiology.

Terms offered: this course is not currently offered.

Individual project work under the supervision of Departmental Staff members.

See course page for more information

PHGY 461D2Experimental Physiology.4.5

Experimental Physiology.

Terms offered: this course is not currently offered.

See PHGY 461D1 for course description.

See course page for more information

1

Students may take either MATH 248 Honours Vector Calculus. or MATH 314 Advanced Calculus..

Complementary Courses (9 credits)

3 credits, one of:

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Course Title Credits
COMP 204Computer Programming for Life Sciences.3

Computer Programming for Life Sciences.

Terms offered: this course is not currently offered.

Computer Science (Sci): Computer programming in a high level language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms, modular software design, libraries, file input/output, debugging. Emphasis on applications in the life sciences.

See course page for more information

COMP 250Introduction to Computer Science.3

Introduction to Computer Science.

Terms offered: this course is not currently offered.

Mathematical tools (binary numbers, induction,recurrence relations, asymptotic complexity,establishing correctness of programs). Datastructures (arrays, stacks, queues, linked lists,trees, binary trees, binary search trees, heaps,hash tables). Recursive and non-recursivealgorithms (searching and sorting, tree andgraph traversal). Abstract data types. Objectoriented programming in Java (classes andobjects, interfaces, inheritance). Selected topics.

See course page for more information

3 credits, one of:

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Course Title Credits
PHGY 311Channels, Synapses and Hormones.3

Channels, Synapses and Hormones.

Terms offered: this course is not currently offered.

In-depth presentation of experimental results and hypotheses on cellular communication in the nervous system and the endocrine system.

See course page for more information

PHGY 314Integrative Neuroscience.3

Integrative Neuroscience.

Terms offered: this course is not currently offered.

In depth presentation of experimental results and hypotheses underlying our current understanding of how single neurons and ensembles of neurons encode sensory information, generate movement, and control cognitive functions such as emotion, learning, and memory, during voluntary behaviours.

See course page for more information

3 credits, one of:

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Course Title Credits
PHYS 413Physical Basis of Physiology.3

Physical Basis of Physiology.

Terms offered: this course is not currently offered.

Analytic and computer simulation techniques are used to examine the role of nonlinearities and time delays in determining the dynamic behaviour of physiological control systems and their relation to normal and pathophysiological states. Examples drawn from the control of respiration, cellular proliferation and differentiation, biochemical feedback networks, thermoregulatory mechanisms, and neural feedback.

See course page for more information

PHYS 519Advanced Biophysics.3

Advanced Biophysics.

Terms offered: this course is not currently offered.

An advanced biophysics course, with a special emphasis on stochastic and out of equilibrium physical processes in living matter.

See course page for more information
U1

BIOL 219. Introduction to Physical Molecular and Cell Biology.

Credits: 4
Offered by: Biology (Faculty of Science)
This course is not offered this catalogue year.

Description

An introduction to molecular and cell biology from a physical perspective. Techniques and methodologies, both experimental and computational, are included in the presentation of each thematic module.
  • This course is meant to prepare students for related 300-level courses in Biology, Chemistry, Physics, etc.
  • Prerequisite(s): BIOL 112; CHEM 110 and CHEM 120; MATH 140, MATH 141 and MATH 133; PHYS 131 and PHYS 142; or the equivalents of these courses.
  • Corequisite(s): MATH 222 or equivalent
  • Restriction(s): Not open to students who have taken or are taking ANAT 212, BIOC 212, BIOL 200, and BIOL 201, or BIEN 219. Only open to students in Bioengineering, Computer Science-Biology, Biology-Mathematics, Biology-Quantitative Biology, Chemistry-Biophysical Chemistry, and Physics-Biological Physics Options.
  • This course is meant to prepare students for related 300-level courses in Biology, Chemistry, Engineering and Physics.

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BIOL 309. Mathematical Models in Biology.

Credits: 3
Offered by: Biology (Faculty of Science)
This course is not offered this catalogue year.

Description

Application of finite difference and differential equations to problems in cell and developmental biology, ecology and physiology. Qualitative, quantitative and graphical techniques are used to analyze mathematical models and to compare theoretical predictions with experimental data.
  • Fall
  • 3 hours lecture
  • Prerequisites:BIOL 200, BIOL 201 (or ANAT 212/BIOC 212); or BIOL 219

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PHGY 209. Mammalian Physiology 1.

Credits: 3
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

Physiology of body fluids, blood, body defense mechanisms, muscle, peripheral, central, and autonomic nervous systems.
  • Restriction: Not open to students who have taken PHGY 211 or PHGY 201 or students who are taking and who have taken NSCI 200.
  • Fall
  • 3 hours lectures weekly
  • Prerequisites: BIOL 112, CHEM 110, CHEM 120, PHYS 101 or PHYS 131, and PHYS 102 or PHYS 142. Pre-/co-requisites: BIOL 200, CHEM 212 or equivalent.
  • Restriction: Not open to students who have taken PHGY 211 or students who are taking and who have taken NSCI 200.
  • Restriction: For students in the Faculty of Science, and other students by permission of the instructor

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PHGY 210. Mammalian Physiology 2.

Credits: 3
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

Physiology of cardiovascular, respiratory, digestive, endocrine and renal systems.
  • Although PHGY 210 may be taken without the prior passing of PHGY 209, students should note that they may have some initial difficulties because of lack of familiarity with some basic concepts introduced in PHGY 209
  • Winter
  • 3 hours lectures weekly
  • Prerequisites: BIOL 112, CHEM 110, CHEM 120, PHYS 101 or PHYS 131, and PHYS 102 or PHYS 142. Pre-/co-requisite: BIOL 200, BIOL 201, BIOC 212, CHEM 212 or equivalent.
  • Restriction: For students in the Faculty of Science, and other students by permission of the instructor
  • Although PHGY 210 may be taken without the prior passing of PHGY 209, students should note that they may have some initial difficulties because of lack of familiarity with some basic concepts introduced in PHGY 209

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PHGY 212. Introductory Physiology Laboratory 1.

Credits: 1
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

Exercises illustrating fundamental principles in physiology: Biological Signals Acquisitions, Blood, Immunology, Neurophysiology, Neuromuscular Physiology.
  • (One 3-hour lab and one 1-hour lecture every second week.)
  • Corequisite: PHGY 209.
  • Restrictions: Required for Physiology students enrolled in PHGY 209. Open to BA &Sc. students and to others by permission of the instructor. Not open to students who have taken PHGY 212D1/D2.
  • Note: For students in a Physiology program, PHGY 212 should be taken concurrently with PHGY 209.

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PHGY 213. Introductory Physiology Laboratory 2.

Credits: 1
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

Exercises illustrating fundamental principles in physiology: Central Nervous System, Cardiovascular, Respiration, Exercise Physiology, Molecular Endocrinology.
  • (One 3-hour lab and one 1-hour lecture every second week.)
  • Prerequisite: PHGY 212
  • Corequisite: PHGY 210.
  • Restrictions: Required for Physiology students enrolled in PHGY 210. Open to BA &Sc. students and to others by permission of the instructor. Not open to students who have taken PHGY 212D1/D2.
  • Note: For students in a Physiology program, PHGY 213 should be taken concurrently with PHGY 210.

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MATH 222. Calculus 3.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
Terms offered: Summer 2025
View offerings for Summer 2025 in Visual Schedule Builder.

Description

Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
  • Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
  • Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
  • Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
  • Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
  • Restriction: Not open to students who have taken or are taking MATH 150, MATH 151, MATH206, or MATH 262.

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MATH 247. Honours Applied Linear Algebra.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

Matrix algebra, determinants, systems of linear equations. Abstract vector spaces, inner product spaces, Fourier series. Linear transformations and their matrix representations. Eigenvalues and eigenvectors, diagonalizable and defective matrices, positive definite and semidefinite matrices. Quadratic and Hermitian forms, generalized eigenvalue problems, simultaneous reduction of quadratic forms. Applications.
  • Winter
  • Prerequisite: MATH 133 or equivalent.
  • Restriction: Intended for Honours Physics and Engineering students
  • Restriction: Not open to students who have taken or are taking MATH 236, MATH 223 or MATH 251

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 OR

MATH 223. Linear Algebra.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
  • Fall and Winter
  • Prerequisite: MATH 133 or equivalent
  • Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 206, MATH 236, MATH 247, or MATH 251.

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MATH 248. Honours Vector Calculus.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

Partial derivatives and differentiation of functions in several variables; Jacobians; maxima and minima; implicit functions. Scalar and vector fields; orthogonal curvilinear coordinates. Multiple integrals; arc length, volume and surface area. Line and surface integrals; irrotational and solenoidal fields; Green's theorem; the divergence theorem. Stokes' theorem; and applications.
  • Fall and Winter and Summer
  • Prerequisites: MATH 133 and MATH 222 or consent of Department.
  • Restriction: Intended for Honours Physics, Computer Science, Physiology and Engineering students.
  • Restriction: Not open to students who have taken or are taking MATH 314 or MATH 358.

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 OR

MATH 314. Advanced Calculus.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
  • Restriction: Not open to students who have taken or are taking MATH 248
  • Restriction: Not open to students who have taken or are taking MATH 248
  • Prerequisites: MATH 133, MATH 222
  • Restriction: Not open to students who have taken or are taking MATH 248 or MATH 358.

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MATH 325. Honours Ordinary Differential Equations.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

First and second order equations, linear equations, series solutions, Frobenius method, introduction to numerical methods and to linear systems, Laplace transforms, applications.
  • Fall and Winter
  • (3-0-6)
  • Prerequisite: MATH 222.
  • Restriction: Intended for Honours Mathematics, Physics and Engineering programs.
  • Restriction: Not open to students who have taken MATH 263 (formerly MATH 261), MATH 315

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 OR

MATH 315. Ordinary Differential Equations.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
  • Restriction: Not open to students who have taken or are taking MATH 325
  • Restriction: Not open to students who have taken or are taking MATH 325.
  • Prerequisite: MATH 222.
  • Corequisite: MATH 133.
  • Restriction: Not open to students who have taken or are taking MATH 325.

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U2

PHGY 311. Channels, Synapses and Hormones.

Credits: 3
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

In-depth presentation of experimental results and hypotheses on cellular communication in the nervous system and the endocrine system.
  • Fall
  • 3 hours of lectures per week; 1-3 hours optional lab/demonstration/tutorial arranged for a maximum of 3 afternoons per term
  • Prerequisite: PHGY 209 or permission of the instructor.

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PHGY 314. Integrative Neuroscience.

Credits: 3
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

In depth presentation of experimental results and hypotheses underlying our current understanding of how single neurons and ensembles of neurons encode sensory information, generate movement, and control cognitive functions such as emotion, learning, and memory, during voluntary behaviours.
  • Restriction: Not open to students who have taken or are taking PSYC 308.
  • Fall
  • 3 hours of lectures per week
  • Prerequisites: PHGY 209

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PHGY 312. Respiratory, Renal, and Cardiovascular Physiology.

Credits: 3
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

In-depth presentation of experimental results and hypotheses underlying our current understanding of topics in renal, respiratory and cardiovascular functions explored beyond the introductory level.
  • Winter
  • 3 hours of lectures per week; 1-3 hours optional lab/demonstration/tutorial arranged for a maximum of 3 Wednesday afternoons per term
  • Prerequisites: PHGY 209 and PHGY 210 or equivalent, PHGY 311 or permission of the instructor

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PHGY 313. Blood, Gastrointestinal, and Immune Systems Physiology.

Credits: 3
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

In-depth presentation of experimental results and hypotheses underlying our current understanding of topics in immunology, blood and fluids, and gastrointestinal physiology.
  • Winter
  • 3 hours of lectures per week; 1-3 hours optional lab/demonstration/tutorial arranged for a maximum of 3 Wednesday afternoons per term
  • Prerequisites: PHGY 209 and PHGY 210 or equivalent, PHGY 311 or permission of the instructor

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MATH 242. Analysis 1.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
  • Fall
  • Prerequisite: MATH 141
  • Restriction(s): Not open to students who are taking or who have taken MATH 254.

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MATH 243. Analysis 2.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

Definition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces.
  • Winter
  • Prerequisite: MATH 242 or MATH 254.

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MATH 323. Probability.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
Terms offered: Summer 2025
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Description

Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
  • Restriction: Not open to students who have taken or are taking MATH 356
  • Restriction: Not open to students who have taken or are taking MATH 356
  • Prerequisites: MATH 141 or equivalent.
  • Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
  • Restriction: Not open to students who have taken or are taking MATH 356

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MATH 326. Nonlinear Dynamics and Chaos.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

Linear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.
  • Fall
  • Prerequisites: MATH 222, MATH 223
  • Restriction: Not open to students who have taken or are taking MATH 376

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MATH 437. Mathematical Methods in Biology.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

The formulation and treatment of realistic mathematical models describing biological phenomena through qualitative and quantitative mathematical techniques (e.g. local and global stability theory, bifurcation analysis and phase plane analysis) and numerical simulation. Concrete and detailed examples will be drawn from molecular and cellular biology and mammalian physiology.
  • Corequisite: MATH 326 or MATH 376
  • This course is offered in the winter semester.
  • Prerequisite(s): MATH 315 or MATH 325, and MATH 326 or MATH 376, and COMP 202 or COMP 204 or COMP 208 or equivalent.

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OR 

MATH 537. Honours Mathematical Models in Biology.

Credits: 4
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

The formulation and treatment of realistic mathematical models describing biological phenomena through such qualitative and quantitative mathematical techniques as local and global stability theory, bifurcation analysis, phase plane analysis, and numerical simulation. Concrete and detailed examples will be drawn from molecular, cellular and population biology and mammalian physiology.
  • Prerequisite(s): MATH 325, MATH 376, and COMP 202 or COMP 204 or COMP 208 or equivalent.
  • Restriction(s): Not open to students who have taken MATH 437.
  • This course is offered in the winter semester.

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(honours students)

COMP 204. Computer Programming for Life Sciences.

Credits: 3
Offered by: Computer Science (Faculty of Science)
This course is not offered this catalogue year.

Description

Computer Science (Sci): Computer programming in a high level language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms, modular software design, libraries, file input/output, debugging. Emphasis on applications in the life sciences.
  • Co-requisite: BIOL 112
  • Restrictions: Not open to students who have taken or are taking COMP 202, COMP 208, or GEOG 333; not open to students who have taken or are taking COMP 206 or COMP 250.
  • To take COMP 204, students should have a solid understanding of pre-calculus fundamentals such as polynomial, trigonometric, exponential, and logarithmic functions.

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 OR

COMP 250. Introduction to Computer Science.

Credits: 3
Offered by: Computer Science (Faculty of Science)
This course is not offered this catalogue year.

Description

Mathematical tools (binary numbers, induction,recurrence relations, asymptotic complexity,establishing correctness of programs). Datastructures (arrays, stacks, queues, linked lists,trees, binary trees, binary search trees, heaps,hash tables). Recursive and non-recursivealgorithms (searching and sorting, tree andgraph traversal). Abstract data types. Objectoriented programming in Java (classes andobjects, interfaces, inheritance). Selected topics.
  • Restriction Note M: COMP 250 and COMP 203 cannot both be taken for credit.
  • 3 hours
  • Prerequisite(s): MATH 140 or equivalent. COMP 202 or COMP 204 or COMP 208 (or equivalent).
  • Corequisite(s): MATH 133
  • Restriction(s): Not open to students who have taken or are taking ECSE 250.

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BIOL 395. Quantitative Biology Seminar.

Credits: 1
Offered by: Biology (Faculty of Science)
This course is not offered this catalogue year.

Description

Overview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology.
  • Fall
  • Prerequisites: BIOL 219; or BIOL 200 plus BIOL 201 or ANAT 212 or BIOC 212; CHEM 212; COMP 202 or COMP 204 or COMP 250; MATH 222; or permission of instructor.
  • Restriction: Open to U2 and U3 students in the following programs: B.Sc. Major and Honours Biology-- Quantitative Biology option; B.Sc. Major and Honours Computer Science and Biology; BSc Major Biology and Mathematics; BSc Major Physiology and Mathematics; BSc Major Physiology and Physics; BSc Major and Honours Chemistry-- Biophysical Chemistry; and B.Sc. Major and Honours Physics--Biological Physics.

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U3

MATH 317. Numerical Analysis.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
  • Fall
  • Prerequisites: MATH 315 or MATH 325 or MATH 263, and COMP 202 or permission of instructor.
  • Restrictions: Not open to students who have taken COMP 350

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MATH 319. Partial Differential Equations .

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series, boundary and initial value problems.
  • Winter
  • Prerequisites: MATH 223 or MATH 236, MATH 314 or equivalent, MATH 315
  • Not open to students who have taken or are taking MATH 475.

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MATH 324. Statistics.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.

Description

Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
  • Fall and Winter
  • Prerequisite: MATH 323 or equivalent
  • Restriction: Not open to students who have taken or are taking MATH 357
  • You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.

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PHGY 461D1. Experimental Physiology.

Credits: 4.5
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

Individual project work under the supervision of Departmental Staff members.
  • No credit will be given for this course unless both PHGY 461D1 and PHGY 461D2 are successfully completed in consecutive terms
  • No credit will be given for this course unless both PHGY 461D1 and PHGY 461D2 are successfully completed in consecutive terms
  • Fall
  • Restrictions: Departmental approval required. This course is a requirement for U3 students in the Honours Physiology program, the Major Program in Physiology and Mathematics, and the Major program in Physiology and Physics, and is open to a limited number of other U3 Physiology students.
  • Students must register for both PHGY 461D1 and PHGY 461D2.
  • No credit will be given for this course unless both PHGY 461D1 and PHGY 461D2 are successfully completed in consecutive terms

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PHGY 461D2. Experimental Physiology.

Credits: 4.5
Offered by: Physiology (Faculty of Science)
This course is not offered this catalogue year.

Description

See PHGY 461D1 for course description.
  • Winter
  • Prerequisite: PHGY 461D1
  • No credit will be given for this course unless both PHGY 461D1 and PHGY 461D2 are successfully completed in consecutive terms

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BMDE 519. Biomedical Signals and Systems.

Credits: 3
Offered by: Biomedical Engineering (Faculty of Engineering)
This course is not offered this catalogue year.

Description

An introduction to the theoretical framework, experimental techniques and analysis procedures available for the quantitative analysis of physiological systems and signals. Lectures plus laboratory work using the Biomedical Engineering computer system. Topics include: amplitude and frequency structure of signals, filtering, sampling, correlation functions, time and frequency-domain descriptions of systems.
  • (3-0-6)
  • Prerequisites: Satisfactory standing in U3 Honours Physiology; or U3 Major in Physics-Physiology; or U3 Major Physiology-Mathematics; or permission of instructor

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PHYS 413. Physical Basis of Physiology.

Credits: 3
Offered by: Physics (Faculty of Science)
This course is not offered this catalogue year.

Description

Analytic and computer simulation techniques are used to examine the role of nonlinearities and time delays in determining the dynamic behaviour of physiological control systems and their relation to normal and pathophysiological states. Examples drawn from the control of respiration, cellular proliferation and differentiation, biochemical feedback networks, thermoregulatory mechanisms, and neural feedback.
  • Fall
  • 3 hours lectures
  • Prerequisite: MATH 315, or MATH 325, and permission of the instructor
  • Intended for Major or Honours students in Physics, Physiology, Physiology and Physics, or Mathematics and others with permission

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 OR

PHYS 519. Advanced Biophysics.

Credits: 3
Offered by: Physics (Faculty of Science)
This course is not offered this catalogue year.

Description

An advanced biophysics course, with a special emphasis on stochastic and out of equilibrium physical processes in living matter.
  • Prerequisites: (PHYS 329 or PHYS 333 or PHYS 362 or MATH 437) and (PHYS 340 or PHYS 350), or permission of the instructor.

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Total Credits:  79
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